X^2 - 5x - 14 = 0
what multiplies to negative 14 and adds to negative 5? -7 and positive 2.
(x - 7) (x + 2) = 0
Lesser x = -2
Greater x = 7
3x + 5y = 1 . . . . . . . . (1)
7x + 4y = -13 . . . . . . .(2)
(1) x 7: 21x + 35y = 7 . . (3)
(2) x 3: 21x + 12y = -39 .(4)
(3) - (4) = 23y = 46
y = 46/23 = 2
No, it won’t work. The greatest common factor between 45 and 27 is 9, but 45-27=18. So it cannot work.